6533b838fe1ef96bd12a4636

RESEARCH PRODUCT

Graphes connexes représentation des entiers et équirépartition

Jean CoquetHubert Delange

subject

Discrete mathematicsCombinatoricsPolynomialSequenceAlgebra and Number TheoryIntegerModuloMathematics::Number TheoryMathematics

description

Abstract Let q be an integer ≥2 and Ω a suitable subset of {0,…,q − 1}2; C (q; Ω) denotes the set of natural integers, the pairs of successive q-adic digits of which are in Ω. If P is an irrational polynomial, the sequence (P(n): n ∈ C (q; Ω)) is uniformly distributed modulo one.

10.1016/0022-314x(83)90064-1http://dx.doi.org/10.1016/0022-314X(83)90064-1